Dear Readers,

**This blog-entry describes, for the first time -- in a**

*¡***,**

*general*

*algorithmic***-- the**

*manner***F**.

**.**

__E__**.**

__D__**for crafting**

*method*

*systematic**-*, categorial-progression

__dialectical__**, starting with the**

*methods of presentation**‘*

**-**__dialectical__**algorithmic**’**of**

*generation***, for**

*tables of contents*

__dialectical__*-*of a vast range of the various [sub-]totalities of human experience

**scientific theorizations**

*!*
We have already,
‘repletely’ illustrated and instantiated this

**earlier in this blog, e.g. --**__dialectical__method
We have also
illustrated how the

**of major***tables of content***-- e.g., by Hegel, and by Marx -- embody these principles of exposition to a high degree, even though**__dialectical__expositions**informed, at the times of their craftings, by any explicitly algebraic, ideogramic guidance, although, as we have shown, an intuitive, heuristic**__un__**was applied by both Hegel and Marx -- two very different, but related,***algorithm for*__dialectics__*‘*in their two cases, both of which are captured,**’**__dialectical__heuristics**, in the***generically*_{N}__Q__**axioms.**_____
This time, for
this blog-entry, the

*general**‘*of this__dialectical__**algorithm**’**is the direct object of exposition.**__dialectical__method
But the exposition
of this abstract object will

**be richly meaningful except for those who already know, and/or who review, the more concrete instantiations of this method, linked-to above.**__not__
I hope you will
enjoy these

*‘*insights into the crafting of**heuristic**-**algorithmic**’**specific to the ontological content of individual sub-totalities, and, moreover, that you will find use-value in using this**__dialectical__methods of presentation*‘*__dialectical__*algorithmics**’*heuristic in the crafting of systematic*‘‘‘*for your own**tables of content**’’’*systematic**-*.__dialectical__expository narratives
Regards,

Miguel

We will play this
out four steps -- steps

**0**,**1**,**2**, and**3**. Steps beyond step**3**are analogous to step**3**.__First__:

*****Choose your

**, or «**

*starting category***»,**

*arché***, as the simplest, most abstract category capturing the whole of the “organic system” that you want to present, in systematic order -- simplest category to most complex; most abstract category to most ‘thought-concrete’ --**

__a__

__a__

^{2}

^{0}**=**.

__a__^{1}=__a____Some Notes__:

**~**signifies the

__a__*‘*determinate negation/opposite’ of

**-**__self__**, i.e., signifies**

__a__**=**

__aa__

__a__**. It does**

^{2}**signify the**

__not__*,*

**abstract nothingness****dialectical “**

__un__**negation**” of

**.**

__a__The expression

__x__**~**means that category

__y__**and category**

__x__**are**

__y__**,**

__dialectical__**of one another in terms of key determinations, or characteristics, of the content that they, respectively, connote.**

*determinate opposites*The expression

__x__**~+~**means that category

__y__**and category**

__x__**are co-present -- “added together” --**

__y__**-amalgamatively, because**

__non__**and**

__x__**are qualitatively heterogeneous in terms of the content that they connote.**

__y____Then__:

*****Interact

**with itself -- let your mind’s ‘ideo-formation’ of**

__a__**enact an**

__a__**[immanent or self-]critique of**

__a__**’s own shortcomings as a full-detail exposition of the “organic system” that you wish to present -- thereby evoking into your awareness**

__a__**’s immediate, ‘‘‘next consecutive’’’,**

__a__

**supplementary****category and counter-example, or ‘‘‘counter-category’’’,**

*opposite***--**

__b__

__a__

^{2}

^{1}**=**

__a__^{2}

**=**__a__

**x**

**=**__a____a__(__a__) = ~(__a__) =__a__~+~__q___{aa}=

__a__~+~

__b__

__=____a__+

__b__

__=__**(**

__a__&**.**

__b__)The form '

**(**

__a__&**' symbolizes more explicitly that we are asserting, as of the end of step**

__b__)**1**, that BOTH category

**and its 'determinate contra-category',**

__a__**or**

__q___{aa}**, are true for -- are characteristic of -- the "organic system" / sub-totality that we are presenting.**

__b__
Category

**or**__q___{aa}**is ‘counter-**__b__**’ and also**__a__*‘‘‘*to**supplement****’’’ in terms of**__a__*‘*more of the content immanent and implicit in the “organic system” that you wish to present systematically and explicitly.**explicitizing**’__Next__:

*****Interact

**(**

__a__~+~**with itself -- let your mind’s ‘ideo-formation’ of**

__b__)**(**

__a__&**critique**

__b__)**(**

__a__&**’s own shortcomings as a full-detail exposition of the “organic system” that you wish to present -- thereby evoking into your awareness both**

__b__)**(1)**the category

**, representing the categorial**

__c__**/**

__combination__**of**

__unity__**and**

__a__**, which**

__b__**their initially apparently absolute, radical mutual**

*opposes***, and**

*opposition***(2)**

**’s immediate, ‘‘‘next consecutive’’’,**

__b__

**supplementary****category and counter-example, or ‘‘‘counter-category’’’,**

*opposite***--**

__d__

__a__

^{22}**=**

__a__^{4}=**(**

__a__^{2})^{2}= (__a__~+~

__b__)^{2}= (__a__~+~__b__)

**x**(__a__~+~__b__)**= ~(**

__a__~+~__b__) =

__b__**(**

__a__~+~

__b__) =

__b__**x (**__a__~+~__b__) =

__a__~+~__q___{ba}+__b__~+~__q___{bb}=**.**

__a__~+~__b__~+~__c__~+~__d__
Category

**synthesizes/reconciles categories**__c__**and**__b__**:**__a____c__**=**__q___{b}**.**_{a}
Category

**is ‘counter-**__d__**’:**__b____d__**=**__q__**.**_{bb}
In summary, step

**2**new category**is ‘contra-**__d__**’, and step**__b__**2**new category**is ‘combo(**__c__**,**__b__**)’.**__a__
KEY: But

**is also ‘contra’, in some of its key characteristics/determinations, to**__d__**and**__each__**of**__all__**,**__a__**, and**__b__**before it,**__c__**just to**__not__**alone --**__b__

__d__**~**,

__c__**, [**

__b__**&**]

**.**

__a____Again__:

*****Interact

**(**

__a__~+~**with itself -- let your own mind’s ‘ideo-formation’ of**

__b__~+~__c__~+~__d__)**(**

__a__&**enact a[n immanent or self-]critique of**

__b__&__c__&__d__)**(**

__a__~+~**’s own shortcomings as a full-detail comprehension of the “organic system” that you wish to present -- thereby evoking into your awareness:**

__b__~+~__c__~+~__d__)

**(1)**category

__e__**=**, representing the categorial

__q___{da}**/**

__combination__**of**

__unity__**and**

__a__**, which**

__d__**their initially apparently radical mutual**

*opposes***, and;**

*opposition*

**(2)**category

__f__**=**, representing the categorial

__q___{db}**/**

__combination__**of**

__unity__**and**

__b__**, which**

__d__**their initially apparently radical mutual**

*opposes***, and;**

*opposition*

**(3)**category

__g__**=**, representing the categorial

__q___{dc}=__q___{dba}**/**

__combination__**of**

__unity__**and**

__d__**, i.e., of**

__c__**,**

__d__**and**

__b__**-- i.e., of all previous**

__a__**,**

*opposites***and**

__d__**, with the «**

__b__**»,**

*arché***-- and which**

__a__**their initially apparently absolute, radical mutual**

*opposes***, and;**

*opposition*

**(4)**the final category of step

**3**, category

__h__**=**, which represents

__q___{dd}**’s immediate, ‘‘‘next consecutive’’’,**

__d__

**supplementary****category and counter-example, or ‘‘‘counter-category’’’ --**

*opposite*

__a__

^{2}

^{3}**=**

__a__^{8}=**(**

__a__^{4})^{2}= (__a__~+~

__b__~+~__c__~+~__d__)^{2}=**(**

__a__~+~

__b__~+~__c__~+~__d__) x (__a__~+~__b__~+~__c__~+~__d__) =**~(**

__a__~+~

__b__~+~__c__~+~__d__) =

__d__**(**

__a__~+~

__b__~+~__c__~+~__d__) =

__d__**x (**

__a__~+~__b__~+~__c__~+~__d__) =

__a__**~+~**

__q___{da}+__b__~+~__q___{db}+__c__~+~__q___{dc}+__d__~+~__q___{dd}=

__a__**~+~**

**.**

__b__~+~__c__~+~__d__~+~__e__~+~__f__~+~__g__~+~__h__
Category

**synthesizes/reconciles categories**__e__**and**__d__**:**__a____e__**=**__q___{d}**.**_{a}
Category

**synthesizes/reconciles categories**__f__**and**__d__**:**__b____f__**=**__q___{d}**.**_{b}
Category

**synthesizes/reconciles categories**__g__**and**__d__**, i.e., categories**__c__**and**__d____q___{b}**:**_{a}

__g__**=**

__q__

_{d}

_{c}

**=**

__q__

_{d}

_{b}**.**

_{a}
Category

**is ‘counter-**__h__**’:**__d____h__**=**__q__**.**_{dd}
In summary, category

category

**is ‘contra-**__h__**’, category**__d__**is ‘combo(**__e__**,**__d__**)’,**__a__category

**is ‘combo(**__f__**,**__d__**)’, and category**__b__**is ‘combo(**__g__**,**__d__**,**__b__**)’.**__a__
KEY: But

**is also ‘contra’, in some of its key characteristics/determinations, to**__h__**and**__each__**of**__all__**,**__a__**,**__b__**, and**__c__**, the «**__d__**» category, and the '"***arché***"' categories that have been evoked before it,***opposites***just to**__not__**alone --**__d__

__h__**~**,

__g__**,**

__f__**,**

__e__**,**

__d__**,**

__c__**, [**

__b__**&**]

**.**

__a__We have a systematically ordered sequence of

*'*

*determinate oppositions**'*-- built from successive, progressive

*'''*

*determinate negations**'''*-- additively combined with their

*'*

*determinate reconciliations**'*.

This

*'*

**'**__Dyad__ic Seldon Function**is a**

__dialectical__method**of**

*method**'''*PACKING''', step-by-step, the

__UN__*'''*

__dialectical__

*contradictions**'''*-- the

*'*

*determinate oppositions**'*, the

*'*

*, or, more*

*intra**-***'***dualities**rally, the*

**gene***'*-- that, together with their [partial and full]

*intra**-**MULTI**-***'***alities**, are*

**resolutions**__dialectical____ternal to, and__

**in**__plicit within, the connotations of that '''historical [sub-]totality''', of that "organic system", of that domain.__

**im**A

**of**

__dialectical__theorization and explanation*, of*

**that organic system**'s*, of*

**that domain**'s

**that***[*

**historical***-]*

**sub**

**totality**'s*,*

**present***existence and mode of self-reproduction is thus being*

**contemporary**__ed,__

**present**__chronically and__

**syn****.**

*systematically*That

*organic system**'*

*s*, that

*domain**'*

*s*, that

*[*

**historical**

*sub**-*]

*inherent*

**totality**'s*'*are also

*intra**-**MULTI**-***'***alities*__manent to --__

**im**__plicit in the__

**im***of -- the*

**connotations****, the**

*beginning***, the**

*simplest***, the «**

*most abstract*__» category of, that '''historical [sub-]totality''' / "organic system" / domain.__

*arché*
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